705096090000 has 525 divisors, whose sum is σ = 2567747697559. Its totient is φ = 187421040000.

The previous prime is 705096089993. The next prime is 705096090001. The reversal of 705096090000 is 90690507.

The square root of 705096090000 is 839700.

It is a perfect power (a square), and thus also a powerful number.

705096090000 is a `hidden beast` number, since 7 + 0 + 509 + 60 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55279533456 + 649816556544 = 235116^2 + 806112^2 .

It is a super-2 number, since 2×705096090000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (705096090001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2267189845 + ... + 2267190155.

Almost surely, 2^705096090000 is an apocalyptic number.

705096090000 is the 839700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705096090000

705096090000 is an abundant number, since it is smaller than the sum of its proper divisors (1862651607559).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

705096090000 is an frugal number, since it uses more digits than its factorization.

705096090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

Multiplying 705096090000 by its sum of digits (36), we get a square (25383459240000 = 5038200²).

705096090000 divided by its sum of digits (36) gives a square (19586002500 = 139950²).

The spelling of 705096090000 in words is "seven hundred five billion, ninety-six million, ninety thousand".